The Physical Hilbert Space of SU(2) Lattice Gauge Theory
classification
✦ hep-lat
keywords
gaugelatticephysicaltheoryhilbertorthonormalspacebasis
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We solve the Gauss law of SU(2) lattice gauge theory using the harmonic oscillator prepotential formulation. We construct a generating function of a manifestly gauge invariant and orthonormal basis in the physical Hilbert space of (d+1) dimensional SU(2) lattice gauge theory. The resulting orthonormal physical states are given in closed form. The generalization to SU(N) gauge group is discussed.
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